Answer:
10.6 units
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Algebra I
- Reading a Cartesian Plane
- Coordinates (x, y)
Algebra II
- Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Step-by-step explanation:
Step 1: Define
Find points from graph.
Point B(-3, -4)
Point D(6, -9)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
- Substitute in points [DF]: [tex]\displaystyle d = \sqrt{(6+3)^2+(-9+4)^2}[/tex]
- (Parenthesis) Add: [tex]\displaystyle d = \sqrt{(9)^2+(-5)^2}[/tex]
- [√Radical] Exponents: [tex]\displaystyle d = \sqrt{81+25}[/tex]
- [√Radical] Add: [tex]\displaystyle d = \sqrt{106}[/tex]
- [√Radical] Evaluate: [tex]\displaystyle d = 10.2956[/tex]
- Round: [tex]\displaystyle d \approx 10.3[/tex]
All the answer choices are wrong. Closest answer is 10.6 units.
